Consider a mass, m , connected to a heavy rigid stand through a light (mass << m) but rigid rod as shown in the figure at the right. The motion of this mass is governed by the angular, motion form of Newton's second law, I dω/dt = τ, where I is the moment of inertia, τ is the torque, and ω is the angular velocity. This yields to the equations:

(a) If the pendulum is started at t = 0 with θ(0) = θ₀ and ω(0) = 0, use the Euler method to approximately find the angle of the bob at times t_n = n Δt for n = 1, and 2, assuming Δt is small.